350542128 has 80 divisors (see below), whose sum is σ = 943689600. Its totient is φ = 112028160.

The previous prime is 350542099. The next prime is 350542139. The reversal of 350542128 is 821245053.

It is a junction number, because it is equal to n+sod(n) for n = 350542095 and 350542104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114603 + ... + 117621.

It is an arithmetic number, because the mean of its divisors is an integer number (11796120).

Almost surely, 2^350542128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350542128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471844800).

350542128 is an abundant number, since it is smaller than the sum of its proper divisors (593147472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

350542128 is a wasteful number, since it uses less digits than its factorization.

350542128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 350542128 is about 18722.7703078364. The cubic root of 350542128 is about 705.0935462609.

The spelling of 350542128 in words is "three hundred fifty million, five hundred forty-two thousand, one hundred twenty-eight".